On a Subclass of Univalent Functions Defined by the Modified Caputo's Fractional Calculus Derivative Operator

Fractional calculus has been considered as asset in different fields of sciences. Recently,fractional calculus has played a crucial role in the theory of univalent functions especially inestimating the sharp inequalities bound for univalent starlike and convex functions. Severaloperators have been introduced by researchers in the field of study. In this paper, we investigatea new subclass of univalent functions defined by the modified Caputo’s derivative operator.Consequently we evoke some interesting properties such as the inclusion result, structuralformula, extreme points and other properties of this class of functions are obtained.